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Some infinite integrals involving Whittaker functions and generalized hypergeometric polynomials, with their applications

Published online by Cambridge University Press:  24 October 2008

Manilal Shah
Manilal Shah
Affiliation:
Department of Mathematics, P.M.B.G. College, Indore (M.P.), India
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Extract

We have defined the generalized hypergeometric polynomial ((6), eqn. (2·1), p. 79) by means of

where δ and n are positive integers and the symbol Δ(δ, − n) represents the set of δ-parameters

The polynomial is in a generalized form which yields many known polynomials with proper choice of parameters and therefore the results are of general character.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 2 , March 1969 , pp. 483 - 488
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Erdélyi, A. et al. Higher transcendential functions, vol. 1. McGraw-Hill Book Company, Inc. (New York 1953).Google Scholar
(2)Fasenmyer, Sister M.Celine, Some generalized hypergeometric polynomials. Bull. Amer. Math. Soc. 53 (1947), 806–812.CrossRefGoogle Scholar
(3)Khandekar, P. R.On a generalization of Rice's polynomial – 1. Proc. Nat. Acad. Sci. India Sect. A 34 (1964), 157–162.Google Scholar
(4)Rice, S. O.Some properties of . Duke Math. J. 6 (1960), 108–119.Google Scholar
(5)Rainville, E. D.Special-functions (Macmillan Company; New York, 1960).Google Scholar
(6)Shah, Manilal.Certain integrals involving the product of two generalized hypergeometric polynomials. Proc. Nat. Acad. Sci. India Sect. A 37 (1967), 79–96.Google Scholar